forall x, Calgary : an introduction to formal logic
Record details
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Physical Description:
1 online resource (viii, 389 pages)
remote - Publisher: [New York] : P.D. Magnus, 2019.
- Distributor: [Victoria] : BCcampus, BC Open Textbook Project
Content descriptions
General Note: | "This booklet is based on the solutions booklet forallx: Cambridge, by Tim Button University of Cambridge used under a CC BY 4.0 license, which is based in turn on forallx, by P.D. Magnus University at Albany, State University of New York used under a CC BY 4.0 license, which was remixed & expanded by Aaron Thomas-Bolduc & Richard Zach University of Calgary"--page ii. |
Source of Description Note: | Description based on online resource; title from pdf title page (viewed on September 18, 2019). |
Search for related items by subject
Subject: | Logic -- Textbooks |
Genre: | Electronic books. |
Other Formats and Editions
Electronic resources
- Click to access e-item from BC Open Textbook Project
- https://open.bccampus.ca/browse-our-collection/find-open-textbooks/?uuid=843aa250-9b7d-4301-befc-c44a7c3af4ce&contributor=&keyword=&subject=
- BC Open Textbook Project title homepage.
- http://solr.bccampus.ca:8001/bcc/file/843aa250-9b7d-4301-befc-c44a7c3af4ce/1/OTB213-02-forallx-Introduction-to-formal-logic-yyc-fall2019.pdf
- BC Open Textbook Project.
Summary:
"This is a textbook on formal logic. The book is divided into nine parts. Part I introduces the topic and notions of logic in an informal way, without introducing a formal language yet. Parts II-IV concern truth-functional languages. In it, sentences are formed from basic sentences using a number of connectives ('or', 'and', 'not', 'if . . . then') which just combine sentences into more complicated ones. We discuss logical notions such as entailment in two ways: semantically, using the method of truth tables (in Part III) and proof-theoretically, using a system of formal derivations (in Part IV). Parts V-VII deal with a more complicated language, that of first-order logic. It includes, in addition to the connectives of truth-functional logic, also names, predicates, identity, and the so-called quantifiers. These additional elements of the language make it much more expressive than the truth-functional language, and we'll spend a fair amount of time investigating just how much one can express in it. Again, logical notions for the language of first-order logic are defined semantically, using interpretations, and proof-theoretically, using a more complex version of the formal derivation system introduced in Part IV. Part VIII discusses the extension of TFL by non-truth-functional operators for possibility and necessity: modal logic. Part IX covers two advanced topics: that of conjunctive and disjunctive normal forms and the expressive adequacy of the truth-functional connectives, and the soundness of natural deduction for TFL"--BCcampus website.